QUASILINEARIZATION METHOD IN CAUSAL DIFFERENTIAL EQUATIONS WITH INITIAL TIME DIFFERENCE

Abstract

In this paper, the method of the quasilinearization technique in causal differential equations is applied to obtain upper and lower sequences with initial time difference in terms of the solutions of the linear causal differential equations that start at different initial times. It is also shown that these sequences converge to the unique solution of the nonlinear equation in causal differential equations uniformly and superlinearly.